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Finding the Third Proportional to 19,544.63 and 42,674.06

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Solution

The third proportional to 19,544.63 and 42,674.06 is: 93,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,544.63 : 42,674.06 = 42,674.06 : x
  2. Step 2: Convert to fraction form
    19,544.63/42,674.06 = 42,674.06/x
  3. Step 3: Cross multiply
    19,544.63x = 42,674.06 × 42,674.06
  4. Step 4: Simplify right side
    19,544.63x = 1,821,075,610.25
  5. Step 5: Solve for x
    x = 1,821,075,610.25/19,544.63
  6. Step 6: Final answer
    x = 93,175.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.